Q: What are the prime factors of the number 41,835,079?

 A: 11, 13, 17, 17209

Why are those the prime factors of the number 41,835,079?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 41,835,079

41,835,079
Factor Arrows
113,803,189
Factor Arrows
13292,553
Factor Arrows
1717,209

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

11, 13, 17, 17209

We can check our work by multiplying all of the prime factors together: 11 x 13 x 17 x 17,209 = 41,835,079

This can also be written as 111 x 131 x 171 x 17,2091 = 41,835,079

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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